Use our free GCF of Fractions Calculator tool to compute the GCF of 4277/316, 4595/7264 i.e 1/573856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4277/316, 4595/7264.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4277/316,4595/7264
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4277/316,4595/7264, numerators are 4277,4595
Denominators are 316,7264
The GCF of 4277,4595 is 1 .
LCM of 316,7264 is 573856.
The greatest common factor of 4277/316,4595/7264 = [GCF of 4277,4595]/[LCM of 316,7264]= 1/573856
Therefore, the GCF of 4277/316,4595/7264 is 1/573856.
To find the highest common factor of 4277,4595, we have to find the factors of both numbers and list the highest common factor.
The factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277
The factors of 4595 are 1, 5, 919, 4595
The HCF of 4277,4595 is 1.
Lets's calculate GCF of 4277,4595
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4277
:1,7,13,47,91,329,611,4277
Now, list down the factors of 4595
:1,5,919,4595
Greatest Common Factor
We found the factors 4277,4595 . The biggest common factor number is the GCF number.
So the greatest common factor 4277,4595 is 1.
Lets's calculate LCM of 316,7264
2 | 316, 7264 |
2 | 158, 3632 |
79, 1816 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 1816 = 573856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573856
Therefore, the GCF of Fractions 4277/316,4595/7264 is 1/573856
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 316,7264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,7264) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,7264) x common factors =4 x 1 = 4
LCM(316,7264) = ( 316 × 7264 ) / 4
LCM(316,7264) = 2295424 / 4
LCM(316,7264) = 573856
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4277,4595?
The HCF of 4277,4595 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4277/316, 4595/7264?
Answer: GCF of Numerators as per given numbers 4277/316, 4595/7264 is
GCF of Numerators i.e. for 4277,4595 is 1
LCM of denominators i.e. for 316,7264 is 573856.
Thus, GCF of Fractions is 1/573856.Finally, GCF of Fractions for 4277/316, 4595/7264 is 1/573856.